Dr. Christian Döding
Arbeitsgruppe: Numerische Analysis von Mehrskalenproblemen
Research Associate (Postdoc)
Adresse:
Ruhr-Universität Bochum
Fakultät für Mathematik
Universitätsstraße 150
D-44780 Bochum
Raum:
IB 3/127
Telefon:
+49 234 / 32-19876
E-Mail:
christian.doeding(at)rub.de
Research
My research interest includes the numerical analysis of partial differential equations and applied dynamical systems. In particular, I am interested in:
- Numerical methods for partial differential equations
- Nonlinear Schrödinger equations
- Structure-preserving time integration
- Finite element methods
- Eigenvalue problems
- Analysis of nonlinear waves in evolution equations
- Dynamics of patterns
- Stability and existence of nonlinear waves
- Spectral analysis
- Numerical computation of nonlinear waves
Publications
C. Döding, P. Henning and J. Wärnegård
A two level approach for simulating Bose-Einstein condensates by localized orthogonal decomposition
ArXiv e-print 2212.07392 (preprint), 2022.C. Döding and P. Henning
Uniform L∞-bounds for energy-conserving higher-order time integrators for the Gross-Pitaevskii equation with rotation
ArXiv e-print 2210.01553 (preprint), 2022.W.-J. Beyn and C. Döding
Stability of Traveling Oscillating Fronts in Complex Ginzburg Landau Equations
SIAM J. Math. Anal., 54(5):5447–5488, 2022. doi: 10.1137/21M1455760.
ArXiv e-print 2110.12953
Thesis
C. Döding
Stability of Traveling Oscillating Fronts in Parabolic Evolution Equations
Dissertation (PhD thesis), Bielefeld University, 2019, doi: https://doi.org/10.4119/unibi/2936703.C. Döding
Numerische Lösung parabolischer Gleichungen mit quadraturbasierten Integratoren
Master thesis (PDF), Bielefeld University, 2015.
Short CV
2021- | Research Associate (Postdoc) |
2019-2021 | Nonacademic Employment (Consultant/Software-Developer) |
2019 | Doctorate |
2015-2019 | Research Associate (PhD-student) |
2013-2015 | Study of Mathematics (M.Sc.) |
2013-2015 | Student Assistant |
2010-2013 | Study of Mathematics and Physics (B.Sc.) |
